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142042140 = 223351715473
BaseRepresentation
bin10000111011101…
…10010000011100
3100220021111012000
420131312100130
5242330322030
622032242300
73343224012
oct1035662034
9326244160
10142042140
11731a73a9
123b6a0390
1323573a06
1414c168b2
15c70b860
hex877641c

142042140 has 96 divisors (see below), whose sum is σ = 467933760. Its totient is φ = 35647488.

The previous prime is 142042129. The next prime is 142042141. The reversal of 142042140 is 41240241.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142042141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1444 + ... + 16916.

It is an arithmetic number, because the mean of its divisors is an integer number (4874310).

Almost surely, 2142042140 is an apocalyptic number.

142042140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142042140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233966880).

142042140 is an abundant number, since it is smaller than the sum of its proper divisors (325891620).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

142042140 is a wasteful number, since it uses less digits than its factorization.

142042140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15508 (or 15500 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 142042140 is about 11918.1433117747. The cubic root of 142042140 is about 521.7619472087.

Adding to 142042140 its reverse (41240241), we get a palindrome (183282381).

The spelling of 142042140 in words is "one hundred forty-two million, forty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 270 306 340 459 510 540 612 765 918 1020 1530 1836 2295 3060 4590 9180 15473 30946 46419 61892 77365 92838 139257 154730 185676 232095 263041 278514 309460 417771 464190 526082 557028 696285 789123 835542 928380 1052164 1315205 1392570 1578246 1671084 2088855 2367369 2630410 2785140 3156492 3945615 4177710 4734738 5260820 7102107 7891230 8355420 9469476 11836845 14204214 15782460 23673690 28408428 35510535 47347380 71021070 142042140